Computational methods for integrals involving functions and Daubechies wavelets

Abstract: When wavelets are used as basis functions in Galerkin approach to solve the integral equations, Integrals of the form occur. By a change of variable, these integrals can be translated into integrals involving only θ. In this paper, we find quadrature rule on the for the integrals of the formWavelets in this article are those discovered by Daubechies [I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988) 909–996], where ϕ is the scaling function and ψ is the wavelet function. [Copyright &y& Elsevier]